Finding the Fourth Proportional to 2,108.31, 2,909.39 and 1,164.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108.31 : 2,909.39 = 1,164.02 : x
2. Step 2: Convert to fraction form
   2,108.31/2,909.39 = 1,164.02/x
3. Step 3: Cross multiply
   2,108.31x = 2,909.39 × 1,164.02
4. Step 4: Simplify right side
   2,108.31x = 3,386,567.78
5. Step 5: Solve for x
   x = 3,386,567.78/2,108.31
6. Step 6: Final answer
   x = 1,606.29